264648732768 has 144 divisors (see below), whose sum is σ = 905377374720. Its totient is φ = 71634233088.

The previous prime is 264648732757. The next prime is 264648732773. The reversal of 264648732768 is 867237846462.

It is a happy number.

264648732768 is a `hidden beast` number, since 2 + 6 + 464 + 87 + 32 + 7 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3416280 + ... + 3492887.

It is an arithmetic number, because the mean of its divisors is an integer number (6287342880).

Almost surely, 2^264648732768 is an apocalyptic number.

264648732768 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

264648732768 is an abundant number, since it is smaller than the sum of its proper divisors (640728641952).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

264648732768 is a wasteful number, since it uses less digits than its factorization.

264648732768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6909209 (or 6909198 counting only the distinct ones).

The product of its digits is 130056192, while the sum is 63.

The spelling of 264648732768 in words is "two hundred sixty-four billion, six hundred forty-eight million, seven hundred thirty-two thousand, seven hundred sixty-eight".